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Finding the Third Proportional to 338,676.75 and 524,688.75

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Solution

The third proportional to 338,676.75 and 524,688.75 is: 812,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,676.75 : 524,688.75 = 524,688.75 : x
  2. Step 2: Convert to fraction form
    338,676.75/524,688.75 = 524,688.75/x
  3. Step 3: Cross multiply
    338,676.75x = 524,688.75 × 524,688.75
  4. Step 4: Simplify right side
    338,676.75x = 275,298,284,376.56
  5. Step 5: Solve for x
    x = 275,298,284,376.56/338,676.75
  6. Step 6: Final answer
    x = 812,864.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.